Finding the Third Proportional to 10,088 and 13,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,088 : 13,826 = 13,826 : x
2. Step 2: Convert to fraction form
   10,088/13,826 = 13,826/x
3. Step 3: Cross multiply
   10,088x = 13,826 × 13,826
4. Step 4: Simplify right side
   10,088x = 191,158,276
5. Step 5: Solve for x
   x = 191,158,276/10,088
6. Step 6: Final answer
   x = 18,949.08